You may need to use the appropriatetechnologyto answer this question.

Suppose the mean price for used cars is $27,673. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of50 carsare shown in the file namedusedcars1.

29,780	27,780	29,480	27,380	28,380	26,275	25,010	27,355	23,730	27,850
27,275	28,625	26,175	29,880	26,720	27,530	26,580	26,775	28,380	28,020
27,380	24,880	25,380	27,820	27,580	27,680	27,120	26,660	28,310	25,380
26,380	25,060	26,780	28,110	24,730	29,620	29,350	25,620	27,290	27,460
26,820	26,350	26,880	27,430	27,510	28,780	25,880	24,880	26,470	27,880

(a)

Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership.

H₀:= 27,673

H_a:27,673

H₀:27,673

H_a:> 27,673

H₀:< 27,673

H_a:27,673

H₀:27,673

H_a:< 27,673

H₀:> 27,673

H_a:27,673

(b)

What is the test statistic? (Round your answer to three decimal places.)

What is thep-value? (Round your answer to four decimal places.)

p-value =

(c)

At

= 0.05,

what is your conclusion?

Do not rejectH₀. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 27,673.Do not rejectH₀. There is sufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 27,673. RejectH₀. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 27,673.RejectH₀. There is sufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 27,673.

5.

[-/1 Points]DETAILSASWSBE15 9.E.011.0/2 Submissions Used

MY NOTES

ASK YOUR TEACHER

You may need to use the appropriateappendix tableortechnologyto answer this question.

Consider the following hypothesis test.

H₀:= 15

H_a:15

A sample of 50 provided a sample mean of14.15. The population standard deviation is 3.

(a)

Find the value of the test statistic. (Round your answer to two decimal places.)

(b)

Find thep-value. (Round your answer to four decimal places.)

p-value =

(c)

At

= 0.05,

state your conclusion.

RejectH₀. There is sufficient evidence to conclude that15.RejectH₀. There is insufficient evidence to conclude that15. Do not rejectH₀. There is sufficient evidence to conclude that15.Do not rejectH₀. There is insufficient evidence to conclude that15.

(d)

State the critical values for the rejection rule. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistictest statistic

State your conclusion.

RejectH₀. There is sufficient evidence to conclude that15.RejectH₀. There is insufficient evidence to conclude that15. Do not rejectH₀. There is sufficient evidence to conclude that15.Do not rejectH₀. There is insufficient evidence to conclude that15.